A liberal church produces liberal voters.
Catholics choose democrats because the church has bred them to be democrat voters, conservative churches do not create left-wing voters.
It's the "liberal" Catholic Church which is walking the walk. It's the "liberal" Catholic Church which is filing the lawsuits. It will be "liberal" Catholics paying the fines and eventually, going to prison.
I guess "conservative" churches can't figure out whether paying for artificial contraception is immoral.